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Finding the Third Proportional to 306,360 and 459,864

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Solution

The third proportional to 306,360 and 459,864 is: 690,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,360 : 459,864 = 459,864 : x
  2. Step 2: Convert to fraction form
    306,360/459,864 = 459,864/x
  3. Step 3: Cross multiply
    306,360x = 459,864 × 459,864
  4. Step 4: Simplify right side
    306,360x = 211,474,898,496
  5. Step 5: Solve for x
    x = 211,474,898,496/306,360
  6. Step 6: Final answer
    x = 690,282.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.